What is ((sqrt(2))/2+(sqrt(2))/2 i)^8 ?

The solution to ((sqrt(2))/2+(sqrt(2))/2 i)^8 is 1

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simplify ((sqrt(2))/2+(sqrt(2))/2 i)^8

simplify

(\frac{2}{2} + \frac{2}{2} i)^{8}

1

Solution steps

(\frac{2}{2} + \frac{2}{2} i)^{8}

Simplify

\frac{2}{2} + \frac{2}{2} i : \frac{1}{2} + \frac{1}{2} i

= (\frac{1}{2} + \frac{1}{2} i)^{8}

Expand

(\frac{1}{2} + \frac{1}{2} i)^{8} : 1

= 1

\frac{x}{sin ( x )}

tan^{2} (x) (csc^{2} (x) - 1)

(1 - cos (x)) (1 + cos (x))

1 + cos (2 x)

cos^{2} (2 x) - sin^{2} (2 x)

What is ((sqrt(2))/2+(sqrt(2))/2 i)^8 ?
The solution to ((sqrt(2))/2+(sqrt(2))/2 i)^8 is 1